Search a number
-
+
430014424 = 23731324533
BaseRepresentation
bin11001101000010…
…111111111011000
31002222010222220011
4121220113333120
51340040430144
6110400411304
713441030240
oct3150277730
91088128804
10430014424
11200806224
12100016b34
136b120008
1441178b20
1527b41a34
hex19a17fd8

430014424 has 32 divisors (see below), whose sum is σ = 924441120. Its totient is φ = 183695616.

The previous prime is 430014419. The next prime is 430014427. The reversal of 430014424 is 424410034.

It is a junction number, because it is equal to n+sod(n) for n = 430014395 and 430014404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (430014427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5262 + ... + 29794.

It is an arithmetic number, because the mean of its divisors is an integer number (28888785).

Almost surely, 2430014424 is an apocalyptic number.

It is an amenable number.

430014424 is an abundant number, since it is smaller than the sum of its proper divisors (494426696).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

430014424 is a wasteful number, since it uses less digits than its factorization.

430014424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24859 (or 24855 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 430014424 is about 20736.7891439345. The cubic root of 430014424 is about 754.7926708753.

Adding to 430014424 its reverse (424410034), we get a palindrome (854424458).

The spelling of 430014424 in words is "four hundred thirty million, fourteen thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 28 56 313 626 1252 2191 2504 4382 8764 17528 24533 49066 98132 171731 196264 343462 686924 1373848 7678829 15357658 30715316 53751803 61430632 107503606 215007212 430014424